Properties of positive solutions for a nonlocal nonlinear diffusion equation with nonlocal nonlinear boundary condition |
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| Authors: | Yuhuan LI Yongsheng MI Chunlai MU |
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| Institution: | 1. Department of Mathematics, Sichuan Normal University, Chengdu 610066, China;2. College of Mathematics and Statistics, Chongqing University, Chongqing 401331, China;3. College of Mathematics and Computer Sciences, Yangtze Normal University, Fuling 408100, China |
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| Abstract: | This article deals with the global existence and blow-up of positive solution of a nonlinear diffusion equation with nonlocal source and nonlocal nonlinear boundary condition. We investigate the influence of the reaction terms, the weight functions and the nonlinear terms in the boundary conditions on global existence and blow up for this equation. Moreover, we establish blow-up rate estimates under some appropriate hypotheses. |
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| Keywords: | Nonlocal boundary condition blow-up blow-up rate Porous medium equation |
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